Multiply. (3 * 10^4)(1 * 10^2) Choices: (A)3 * 10^2 (B)3 * 10^6 (C)6 * 10^6 (D)6 * 10^2

Group Coefficients and Powers: We have the expression (3 * 10^4)(1 * 10^2). First, we group the coefficients and power terms together. Coefficients: 3 and 1 Power terms: 10^4 and 10^2Multiply Coefficients: Multiply the coefficients together. 3 * 1 = 3Combine Power Terms: Combine the power terms by adding the exponents, since the base is the same (10). 10^4 * 10^2 = 10^(4 + 2) = 10^6Write Final Answer: Combine the results from Step 2 and Step 3 to write the final answer in scientific notation. Coefficient = 3 Power term = 10^6 Scientific notation: 3 * 10^6

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Multiply. $\newline$ $(3 \times 10^4)(1 \times 10^2)$ $\newline$ Choices: $\newline$ (A) $3 \times 10^2$ $\newline$ (B) $3 \times 10^6$ $\newline$ (C) $6 \times 10^6$ $\newline$ (D) $6 \times 10^2$

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Math Problems

Algebra 1

Multiply numbers written in scientific notation

Full solution

Q. Multiply.

\newline

(3 \times 10^4)(1 \times 10^2)

\newline

Choices:

\newline

(A)

3 \times 10^2

\newline

(B)

3 \times 10^6

\newline

(C)

6 \times 10^6

\newline

(D)

6 \times 10^2

Group Coefficients and Powers: We have the expression $3 \times 10^4$ ( $1$ \times $10$ ^ $2$ \). First, we group the coefficients and power terms together. $\newline$ Coefficients: $3$ and $1$ $\newline$ Power terms: $10^4$ and $10^2$
Multiply Coefficients: Multiply the coefficients together. $3 \times 1 = 3$
Combine Power Terms: Combine the power terms by adding the exponents, since the base is the same $10$ . $10^4 \times 10^2 = 10^{(4 + 2)} = 10^6$
Write Final Answer: Combine the results from Step $2$ and Step $3$ to write the final answer in scientific notation. $\newline$ Coefficient = $3$ $\newline$ Power term = $10^6$ $\newline$ Scientific notation: $3 \times 10^6$